What is the Greatest Common Factor of 83726 and 83738?
Greatest common factor (GCF) of 83726 and 83738 is 2.
GCF(83726,83738) = 2
We will now calculate the prime factors of 83726 and 83738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83726 and 83738.
How to find the GCF of 83726 and 83738?
We will first find the prime factorization of 83726 and 83738. After we will calculate the factors of 83726 and 83738 and find the biggest common factor number .
Step-1: Prime Factorization of 83726
Prime factors of 83726 are 2, 41863. Prime factorization of 83726 in exponential form is:
83726 = 21 × 418631
Step-2: Prime Factorization of 83738
Prime factors of 83738 are 2, 149, 281. Prime factorization of 83738 in exponential form is:
83738 = 21 × 1491 × 2811
Step-3: Factors of 83726
List of positive integer factors of 83726 that divides 83726 without a remainder.
1, 2, 41863
Step-4: Factors of 83738
List of positive integer factors of 83738 that divides 83726 without a remainder.
1, 2, 149, 281, 298, 562, 41869
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 83726 and 83738. The biggest common factor number is the GCF number.
So the greatest common factor 83726 and 83738 is 2.
Also check out the Least Common Multiple of 83726 and 83738
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